Click-drag the blob to deform it β fast deformation is elastic (snaps
back), slow deformation is viscous (flows). Compare three rheological
models.
ModelMaxwell
Modulus Gβ (kPa)10.0
Viscosity Ξ· (kPaΒ·s)5.0
SLS spring ratio Ξ±0.50
0.50
Οα΄Ώ relaxation (s)
β
Deborah number
β
Gβ² storage (kPa)
β
Gβ³ loss (kPa)
β
tan Ξ΄
How it works:
A viscoelastic material has both springlike (elastic) and
dashpot-like (viscous) elements. The
Deborah number De = Οα΄Ώ/t_obs separates behaviour: De
> 1 β solid-like; De < 1 β liquid-like.
Maxwell (spring + dashpot in series): dΞ΅/dt =
Ο/Ξ· + (1/Gβ)Β·dΟ/dt β exponential stress relaxation, infinite
creep.
Kelvin-Voigt (spring + dashpot in parallel): Ο
= GβΞ΅ + Ξ·Β·dΞ΅/dt β retarded elastic creep, no stress relaxation.
Standard Linear Solid combines both: finite relaxation
and
finite creep, with plateau modulus GβΒ·Ξ±.
Left panel: 10Γ10 particle blob with Maxwell springs β
drag to deform. Colour = local stress magnitude (blueβred).
Right panel: selected test curve (analytical) β drag
the Ο-slider in Frequency Sweep mode.